51.734 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.021 * * [simplify]: iteration 0: 4 enodes 0.022 * * [simplify]: iteration 1: 11 enodes 0.024 * * [simplify]: iteration 2: 25 enodes 0.028 * * [simplify]: iteration 3: 53 enodes 0.035 * * [simplify]: iteration 4: 72 enodes 0.044 * * [simplify]: iteration 5: 88 enodes 0.055 * * [simplify]: iteration 6: 97 enodes 0.063 * * [simplify]: iteration 7: 103 enodes 0.071 * * [simplify]: iteration complete: 103 enodes 0.071 * * [simplify]: Extracting #0: cost 1 inf + 0 0.071 * * [simplify]: Extracting #1: cost 12 inf + 0 0.071 * * [simplify]: Extracting #2: cost 19 inf + 0 0.071 * * [simplify]: Extracting #3: cost 16 inf + 3 0.071 * * [simplify]: Extracting #4: cost 1 inf + 1149 0.072 * * [simplify]: Extracting #5: cost 0 inf + 1271 0.072 * [simplify]: Simplified to: (* (+ y x) (+ y x)) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.075 * * * * [pick]: Picked # 0.076 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.111 * * * [progress]: generating series expansions 0.112 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.112 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.112 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.112 * [taylor]: Taking taylor expansion of (+ x y) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [backup-simplify]: Simplify x into x 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ x 0) into x 0.112 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.112 * [taylor]: Taking taylor expansion of (+ x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (+ 0 y) into y 0.112 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.112 * [taylor]: Taking taylor expansion of (+ x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (+ 0 y) into y 0.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.113 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.113 * [taylor]: Taking taylor expansion of 2 in y 0.113 * [backup-simplify]: Simplify 2 into 2 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 2 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.114 * [backup-simplify]: Simplify 2 into 2 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.115 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.115 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [backup-simplify]: Simplify x into x 0.115 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify (+ 0 1) into 1 0.116 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.118 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of 2 in y 0.118 * [backup-simplify]: Simplify 2 into 2 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 2 1) into 2 0.121 * [backup-simplify]: Simplify 2 into 2 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.122 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.122 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [backup-simplify]: Simplify x into x 0.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [backup-simplify]: Simplify y into y 0.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.125 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.125 * [taylor]: Taking taylor expansion of 2 in y 0.125 * [backup-simplify]: Simplify 2 into 2 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 2 1) into 2 0.128 * [backup-simplify]: Simplify 2 into 2 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.128 * * * [progress]: simplifying candidates 0.129 * [simplify]: Simplifying: (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.129 * * [simplify]: iteration 0: 62 enodes 0.149 * * [simplify]: iteration 1: 224 enodes 0.264 * * [simplify]: iteration 2: 793 enodes 0.818 * * [simplify]: iteration 3: 3938 enodes 2.076 * * [simplify]: iteration complete: 5000 enodes 2.076 * * [simplify]: Extracting #0: cost 25 inf + 0 2.077 * * [simplify]: Extracting #1: cost 326 inf + 2 2.080 * * [simplify]: Extracting #2: cost 1201 inf + 3024 2.093 * * [simplify]: Extracting #3: cost 1118 inf + 81934 2.134 * * [simplify]: Extracting #4: cost 243 inf + 246272 2.186 * * [simplify]: Extracting #5: cost 59 inf + 287623 2.246 * * [simplify]: Extracting #6: cost 10 inf + 296537 2.303 * * [simplify]: Extracting #7: cost 0 inf + 299067 2.361 * [simplify]: Simplified to: 2 (* (+ y x) (+ y x)) 2 (log (* (+ y x) (+ y x))) (log (* (+ y x) (+ y x))) (exp (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (* (+ y x) (+ y x))) (* (+ y x) (+ y x))) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (* (+ y x) (+ y x))) (* (+ y x) (+ y x))) (fabs (+ y x)) (fabs (+ y x)) (* (+ (* y (* y y)) (* (* x x) x)) (+ (* y (* y y)) (* (* x x) x))) (* (+ (* (- y x) y) (* x x)) (+ (* (- y x) y) (* x x))) (* (- (* x x) (* y y)) (+ (* y (* y y)) (* (* x x) x))) (* (+ (* (- y x) y) (* x x)) (- x y)) (* (- (* x x) (* y y)) (+ (* y (* y y)) (* (* x x) x))) (* (+ (* (- y x) y) (* x x)) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (cbrt (+ y x)) (+ y x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (+ y x) (+ y x) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) (+ y x) (+ y x) 2 (* x (+ y x)) (* (+ y x) y) (* x (+ y x)) (* (+ y x) y) (* (+ y x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (* (sqrt (+ y x)) (+ y x)) (+ y x) (+ y x) (* (cbrt (+ y x)) (+ y x)) (* (sqrt (+ y x)) (+ y x)) (* (+ y x) (+ y x)) (* (+ y x) (+ y x)) (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (* (* (+ y x) (+ y x)) (- x y)) (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (* (* (+ y x) (+ y x)) (- x y)) (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))) (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))) (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))) 2.363 * * * [progress]: adding candidates to table 2.475 * * [progress]: iteration 2 / 4 2.476 * * * [progress]: picking best candidate 2.481 * * * * [pick]: Picked # 2.481 * * * [progress]: localizing error 2.498 * * * [progress]: generating rewritten candidates 2.498 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.504 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 2.545 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.555 * * * [progress]: generating series expansions 2.555 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.556 * [backup-simplify]: Simplify (+ (* x y) (* x y)) into (* 2 (* x y)) 2.556 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 2.556 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.556 * [taylor]: Taking taylor expansion of 2 in y 2.556 * [backup-simplify]: Simplify 2 into 2 2.556 * [taylor]: Taking taylor expansion of (* x y) in y 2.556 * [taylor]: Taking taylor expansion of x in y 2.556 * [backup-simplify]: Simplify x into x 2.556 * [taylor]: Taking taylor expansion of y in y 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.556 * [taylor]: Taking taylor expansion of 2 in x 2.556 * [backup-simplify]: Simplify 2 into 2 2.556 * [taylor]: Taking taylor expansion of (* x y) in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [taylor]: Taking taylor expansion of y in x 2.556 * [backup-simplify]: Simplify y into y 2.556 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.556 * [taylor]: Taking taylor expansion of 2 in x 2.556 * [backup-simplify]: Simplify 2 into 2 2.556 * [taylor]: Taking taylor expansion of (* x y) in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [taylor]: Taking taylor expansion of y in x 2.556 * [backup-simplify]: Simplify y into y 2.556 * [backup-simplify]: Simplify (* 0 y) into 0 2.557 * [backup-simplify]: Simplify (* 2 0) into 0 2.557 * [taylor]: Taking taylor expansion of 0 in y 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.558 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.558 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.558 * [taylor]: Taking taylor expansion of 2 in y 2.558 * [backup-simplify]: Simplify 2 into 2 2.558 * [taylor]: Taking taylor expansion of y in y 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [backup-simplify]: Simplify (* 2 0) into 0 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.560 * [taylor]: Taking taylor expansion of 0 in y 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.561 * [backup-simplify]: Simplify 2 into 2 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.563 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 2.563 * [taylor]: Taking taylor expansion of 0 in y 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 2.566 * [taylor]: Taking taylor expansion of 0 in y 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (* 2 (* y x)) into (* 2 (* x y)) 2.567 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 y)) (* (/ 1 x) (/ 1 y))) into (* 2 (/ 1 (* x y))) 2.567 * [approximate]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in (x y) around 0 2.567 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.567 * [taylor]: Taking taylor expansion of 2 in y 2.567 * [backup-simplify]: Simplify 2 into 2 2.567 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.567 * [taylor]: Taking taylor expansion of (* x y) in y 2.567 * [taylor]: Taking taylor expansion of x in y 2.567 * [backup-simplify]: Simplify x into x 2.567 * [taylor]: Taking taylor expansion of y in y 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (* x 0) into 0 2.567 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.567 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.567 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.568 * [taylor]: Taking taylor expansion of 2 in x 2.568 * [backup-simplify]: Simplify 2 into 2 2.568 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.568 * [taylor]: Taking taylor expansion of (* x y) in x 2.568 * [taylor]: Taking taylor expansion of x in x 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [taylor]: Taking taylor expansion of y in x 2.568 * [backup-simplify]: Simplify y into y 2.568 * [backup-simplify]: Simplify (* 0 y) into 0 2.568 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.568 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.568 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.568 * [taylor]: Taking taylor expansion of 2 in x 2.568 * [backup-simplify]: Simplify 2 into 2 2.568 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.568 * [taylor]: Taking taylor expansion of (* x y) in x 2.568 * [taylor]: Taking taylor expansion of x in x 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [taylor]: Taking taylor expansion of y in x 2.568 * [backup-simplify]: Simplify y into y 2.568 * [backup-simplify]: Simplify (* 0 y) into 0 2.569 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.569 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.569 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.569 * [taylor]: Taking taylor expansion of (/ 2 y) in y 2.569 * [taylor]: Taking taylor expansion of 2 in y 2.569 * [backup-simplify]: Simplify 2 into 2 2.569 * [taylor]: Taking taylor expansion of y in y 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [backup-simplify]: Simplify (/ 2 1) into 2 2.570 * [backup-simplify]: Simplify 2 into 2 2.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.571 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.571 * [taylor]: Taking taylor expansion of 0 in y 2.571 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 2.572 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.574 * [taylor]: Taking taylor expansion of 0 in y 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.575 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.577 * [taylor]: Taking taylor expansion of 0 in y 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 2 (* x y)) 2.579 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- y)))) into (* 2 (/ 1 (* x y))) 2.579 * [approximate]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in (x y) around 0 2.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.579 * [taylor]: Taking taylor expansion of 2 in y 2.579 * [backup-simplify]: Simplify 2 into 2 2.579 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.579 * [taylor]: Taking taylor expansion of (* x y) in y 2.579 * [taylor]: Taking taylor expansion of x in y 2.579 * [backup-simplify]: Simplify x into x 2.579 * [taylor]: Taking taylor expansion of y in y 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (* x 0) into 0 2.579 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.579 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.579 * [taylor]: Taking taylor expansion of 2 in x 2.579 * [backup-simplify]: Simplify 2 into 2 2.579 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.579 * [taylor]: Taking taylor expansion of (* x y) in x 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [taylor]: Taking taylor expansion of y in x 2.579 * [backup-simplify]: Simplify y into y 2.580 * [backup-simplify]: Simplify (* 0 y) into 0 2.580 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.580 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.580 * [taylor]: Taking taylor expansion of 2 in x 2.580 * [backup-simplify]: Simplify 2 into 2 2.580 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.580 * [taylor]: Taking taylor expansion of (* x y) in x 2.580 * [taylor]: Taking taylor expansion of x in x 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [taylor]: Taking taylor expansion of y in x 2.580 * [backup-simplify]: Simplify y into y 2.580 * [backup-simplify]: Simplify (* 0 y) into 0 2.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.581 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.581 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.581 * [taylor]: Taking taylor expansion of (/ 2 y) in y 2.581 * [taylor]: Taking taylor expansion of 2 in y 2.581 * [backup-simplify]: Simplify 2 into 2 2.581 * [taylor]: Taking taylor expansion of y in y 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [backup-simplify]: Simplify (/ 2 1) into 2 2.581 * [backup-simplify]: Simplify 2 into 2 2.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.584 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.585 * [taylor]: Taking taylor expansion of 0 in y 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.587 * [taylor]: Taking taylor expansion of 0 in y 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.588 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.591 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.591 * [taylor]: Taking taylor expansion of 0 in y 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 2 (* x y)) 2.592 * * * * [progress]: [ 2 / 3 ] generating series at (2) 2.592 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.592 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0 2.592 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 2.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.592 * [taylor]: Taking taylor expansion of y in y 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 2.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.592 * [taylor]: Taking taylor expansion of x in y 2.592 * [backup-simplify]: Simplify x into x 2.592 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.592 * [taylor]: Taking taylor expansion of 2 in y 2.593 * [backup-simplify]: Simplify 2 into 2 2.593 * [taylor]: Taking taylor expansion of (* x y) in y 2.593 * [taylor]: Taking taylor expansion of x in y 2.593 * [backup-simplify]: Simplify x into x 2.593 * [taylor]: Taking taylor expansion of y in y 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 2.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.593 * [taylor]: Taking taylor expansion of y in x 2.593 * [backup-simplify]: Simplify y into y 2.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.593 * [taylor]: Taking taylor expansion of 2 in x 2.593 * [backup-simplify]: Simplify 2 into 2 2.593 * [taylor]: Taking taylor expansion of (* x y) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [taylor]: Taking taylor expansion of y in x 2.593 * [backup-simplify]: Simplify y into y 2.593 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 2.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.593 * [taylor]: Taking taylor expansion of y in x 2.593 * [backup-simplify]: Simplify y into y 2.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.593 * [taylor]: Taking taylor expansion of 2 in x 2.593 * [backup-simplify]: Simplify 2 into 2 2.593 * [taylor]: Taking taylor expansion of (* x y) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [taylor]: Taking taylor expansion of y in x 2.593 * [backup-simplify]: Simplify y into y 2.594 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.594 * [backup-simplify]: Simplify (* 0 y) into 0 2.594 * [backup-simplify]: Simplify (* 2 0) into 0 2.594 * [backup-simplify]: Simplify (+ 0 0) into 0 2.594 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.594 * [taylor]: Taking taylor expansion of y in y 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.595 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.595 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.595 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.595 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.595 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.595 * [taylor]: Taking taylor expansion of 2 in y 2.595 * [backup-simplify]: Simplify 2 into 2 2.595 * [taylor]: Taking taylor expansion of y in y 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify (* 2 0) into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.597 * [backup-simplify]: Simplify (* 1 1) into 1 2.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.598 * [backup-simplify]: Simplify (+ 1 0) into 1 2.599 * [backup-simplify]: Simplify (+ 0 1) into 1 2.599 * [taylor]: Taking taylor expansion of 1 in y 2.599 * [backup-simplify]: Simplify 1 into 1 2.599 * [backup-simplify]: Simplify 1 into 1 2.599 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.599 * [backup-simplify]: Simplify 2 into 2 2.600 * [backup-simplify]: Simplify (* 1 1) into 1 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.601 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (* (/ 1 x) (/ 1 y)) (* (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 2.601 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.601 * [taylor]: Taking taylor expansion of y in y 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (* 1 1) into 1 2.601 * [backup-simplify]: Simplify (/ 1 1) into 1 2.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.602 * [taylor]: Taking taylor expansion of x in y 2.602 * [backup-simplify]: Simplify x into x 2.602 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.602 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.602 * [taylor]: Taking taylor expansion of 2 in y 2.602 * [backup-simplify]: Simplify 2 into 2 2.602 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.602 * [taylor]: Taking taylor expansion of (* x y) in y 2.602 * [taylor]: Taking taylor expansion of x in y 2.602 * [backup-simplify]: Simplify x into x 2.602 * [taylor]: Taking taylor expansion of y in y 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (* x 0) into 0 2.602 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.602 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.603 * [taylor]: Taking taylor expansion of y in x 2.603 * [backup-simplify]: Simplify y into y 2.603 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.603 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.603 * [taylor]: Taking taylor expansion of x in x 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (* 1 1) into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.604 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.604 * [taylor]: Taking taylor expansion of 2 in x 2.604 * [backup-simplify]: Simplify 2 into 2 2.604 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.604 * [taylor]: Taking taylor expansion of (* x y) in x 2.604 * [taylor]: Taking taylor expansion of x in x 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 1 into 1 2.604 * [taylor]: Taking taylor expansion of y in x 2.604 * [backup-simplify]: Simplify y into y 2.604 * [backup-simplify]: Simplify (* 0 y) into 0 2.604 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.604 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.604 * [taylor]: Taking taylor expansion of y in x 2.604 * [backup-simplify]: Simplify y into y 2.604 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.604 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.605 * [taylor]: Taking taylor expansion of x in x 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (* 1 1) into 1 2.605 * [backup-simplify]: Simplify (/ 1 1) into 1 2.605 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.605 * [taylor]: Taking taylor expansion of 2 in x 2.605 * [backup-simplify]: Simplify 2 into 2 2.605 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.605 * [taylor]: Taking taylor expansion of (* x y) in x 2.605 * [taylor]: Taking taylor expansion of x in x 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [taylor]: Taking taylor expansion of y in x 2.605 * [backup-simplify]: Simplify y into y 2.605 * [backup-simplify]: Simplify (* 0 y) into 0 2.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.606 * [backup-simplify]: Simplify (+ 1 0) into 1 2.607 * [backup-simplify]: Simplify (+ 0 1) into 1 2.607 * [taylor]: Taking taylor expansion of 1 in y 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.608 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.608 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.608 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.608 * [taylor]: Taking taylor expansion of 2 in y 2.608 * [backup-simplify]: Simplify 2 into 2 2.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.608 * [taylor]: Taking taylor expansion of y in y 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (/ 1 1) into 1 2.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.611 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.611 * [backup-simplify]: Simplify (+ 0 0) into 0 2.612 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.612 * [taylor]: Taking taylor expansion of y in y 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify 1 into 1 2.612 * [backup-simplify]: Simplify (* 1 1) into 1 2.612 * [backup-simplify]: Simplify (/ 1 1) into 1 2.613 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (* 2 1) into 2 2.613 * [backup-simplify]: Simplify 2 into 2 2.613 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.614 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 2.614 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 2.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.614 * [taylor]: Taking taylor expansion of y in y 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (* 1 1) into 1 2.615 * [backup-simplify]: Simplify (/ 1 1) into 1 2.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 2.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.615 * [taylor]: Taking taylor expansion of x in y 2.615 * [backup-simplify]: Simplify x into x 2.615 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.615 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.615 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.615 * [taylor]: Taking taylor expansion of 2 in y 2.615 * [backup-simplify]: Simplify 2 into 2 2.615 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.615 * [taylor]: Taking taylor expansion of (* x y) in y 2.615 * [taylor]: Taking taylor expansion of x in y 2.615 * [backup-simplify]: Simplify x into x 2.615 * [taylor]: Taking taylor expansion of y in y 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (* x 0) into 0 2.616 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.616 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 2.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.616 * [taylor]: Taking taylor expansion of y in x 2.616 * [backup-simplify]: Simplify y into y 2.616 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.616 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 2.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.616 * [taylor]: Taking taylor expansion of x in x 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 1 into 1 2.617 * [backup-simplify]: Simplify (* 1 1) into 1 2.617 * [backup-simplify]: Simplify (/ 1 1) into 1 2.617 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.617 * [taylor]: Taking taylor expansion of 2 in x 2.617 * [backup-simplify]: Simplify 2 into 2 2.617 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.617 * [taylor]: Taking taylor expansion of (* x y) in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.617 * [taylor]: Taking taylor expansion of y in x 2.617 * [backup-simplify]: Simplify y into y 2.617 * [backup-simplify]: Simplify (* 0 y) into 0 2.617 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.618 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 2.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.618 * [taylor]: Taking taylor expansion of y in x 2.618 * [backup-simplify]: Simplify y into y 2.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.618 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 2.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.618 * [taylor]: Taking taylor expansion of x in x 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (* 1 1) into 1 2.619 * [backup-simplify]: Simplify (/ 1 1) into 1 2.619 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.619 * [taylor]: Taking taylor expansion of 2 in x 2.619 * [backup-simplify]: Simplify 2 into 2 2.619 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.619 * [taylor]: Taking taylor expansion of (* x y) in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [taylor]: Taking taylor expansion of y in x 2.619 * [backup-simplify]: Simplify y into y 2.619 * [backup-simplify]: Simplify (* 0 y) into 0 2.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.619 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.620 * [backup-simplify]: Simplify (+ 1 0) into 1 2.620 * [backup-simplify]: Simplify (+ 0 1) into 1 2.620 * [taylor]: Taking taylor expansion of 1 in y 2.620 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.622 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.622 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.622 * [taylor]: Taking taylor expansion of 2 in y 2.622 * [backup-simplify]: Simplify 2 into 2 2.622 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.622 * [taylor]: Taking taylor expansion of y in y 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (/ 1 1) into 1 2.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.625 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.626 * [backup-simplify]: Simplify (+ 0 0) into 0 2.626 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.626 * [taylor]: Taking taylor expansion of y in y 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [backup-simplify]: Simplify (* 1 1) into 1 2.627 * [backup-simplify]: Simplify (/ 1 1) into 1 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (* 2 1) into 2 2.627 * [backup-simplify]: Simplify 2 into 2 2.627 * [backup-simplify]: Simplify 1 into 1 2.628 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 2.628 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.628 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 2.628 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 2.628 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.628 * [taylor]: Taking taylor expansion of y in y 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.628 * [taylor]: Taking taylor expansion of x in y 2.628 * [backup-simplify]: Simplify x into x 2.628 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.628 * [taylor]: Taking taylor expansion of y in x 2.628 * [backup-simplify]: Simplify y into y 2.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.628 * [taylor]: Taking taylor expansion of x in x 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.628 * [taylor]: Taking taylor expansion of y in x 2.628 * [backup-simplify]: Simplify y into y 2.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.628 * [taylor]: Taking taylor expansion of x in x 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.629 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.629 * [taylor]: Taking taylor expansion of y in y 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 1 into 1 2.629 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.629 * [backup-simplify]: Simplify (+ 0 0) into 0 2.629 * [taylor]: Taking taylor expansion of 0 in y 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.630 * [backup-simplify]: Simplify (* 1 1) into 1 2.630 * [backup-simplify]: Simplify (+ 0 1) into 1 2.630 * [taylor]: Taking taylor expansion of 1 in y 2.630 * [backup-simplify]: Simplify 1 into 1 2.630 * [backup-simplify]: Simplify 1 into 1 2.630 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (* 1 1) into 1 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.632 * [backup-simplify]: Simplify (+ 0 0) into 0 2.632 * [taylor]: Taking taylor expansion of 0 in y 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.635 * [backup-simplify]: Simplify (+ 0 0) into 0 2.635 * [taylor]: Taking taylor expansion of 0 in y 2.635 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 2.636 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.636 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.636 * [taylor]: Taking taylor expansion of y in y 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 1 into 1 2.636 * [backup-simplify]: Simplify (* 1 1) into 1 2.637 * [backup-simplify]: Simplify (/ 1 1) into 1 2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.637 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.637 * [taylor]: Taking taylor expansion of x in y 2.637 * [backup-simplify]: Simplify x into x 2.637 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.637 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.637 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.637 * [taylor]: Taking taylor expansion of y in x 2.637 * [backup-simplify]: Simplify y into y 2.637 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.637 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify 1 into 1 2.638 * [backup-simplify]: Simplify (* 1 1) into 1 2.638 * [backup-simplify]: Simplify (/ 1 1) into 1 2.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.638 * [taylor]: Taking taylor expansion of y in x 2.638 * [backup-simplify]: Simplify y into y 2.638 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.638 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 1 into 1 2.639 * [backup-simplify]: Simplify (* 1 1) into 1 2.639 * [backup-simplify]: Simplify (/ 1 1) into 1 2.639 * [backup-simplify]: Simplify (+ 0 1) into 1 2.639 * [taylor]: Taking taylor expansion of 1 in y 2.639 * [backup-simplify]: Simplify 1 into 1 2.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.641 * [backup-simplify]: Simplify (+ 0 0) into 0 2.641 * [taylor]: Taking taylor expansion of 0 in y 2.641 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.643 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.643 * [taylor]: Taking taylor expansion of y in y 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (* 1 1) into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.646 * [backup-simplify]: Simplify (+ 0 0) into 0 2.646 * [taylor]: Taking taylor expansion of 0 in y 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [taylor]: Taking taylor expansion of 0 in y 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.652 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.652 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.652 * [taylor]: Taking taylor expansion of y in y 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (* 1 1) into 1 2.653 * [backup-simplify]: Simplify (/ 1 1) into 1 2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.653 * [taylor]: Taking taylor expansion of x in y 2.653 * [backup-simplify]: Simplify x into x 2.653 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.653 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.653 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.653 * [taylor]: Taking taylor expansion of y in x 2.653 * [backup-simplify]: Simplify y into y 2.653 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.653 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.653 * [taylor]: Taking taylor expansion of x in x 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 1 into 1 2.654 * [backup-simplify]: Simplify (* 1 1) into 1 2.654 * [backup-simplify]: Simplify (/ 1 1) into 1 2.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.654 * [taylor]: Taking taylor expansion of y in x 2.654 * [backup-simplify]: Simplify y into y 2.654 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.654 * [taylor]: Taking taylor expansion of x in x 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify (* 1 1) into 1 2.655 * [backup-simplify]: Simplify (/ 1 1) into 1 2.655 * [backup-simplify]: Simplify (+ 0 1) into 1 2.655 * [taylor]: Taking taylor expansion of 1 in y 2.656 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify (+ 0 0) into 0 2.657 * [taylor]: Taking taylor expansion of 0 in y 2.657 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.659 * [taylor]: Taking taylor expansion of y in y 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify (* 1 1) into 1 2.659 * [backup-simplify]: Simplify (/ 1 1) into 1 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify 1 into 1 2.660 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.662 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [taylor]: Taking taylor expansion of 0 in y 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (+ 0 0) into 0 2.666 * [taylor]: Taking taylor expansion of 0 in y 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.668 * * * [progress]: simplifying candidates 2.669 * [simplify]: Simplifying: (* (exp (* x y)) (exp (* x y))) (log (+ (* x y) (* x y))) (exp (+ (* x y) (* x y))) (* (cbrt (+ (* x y) (* x y))) (cbrt (+ (* x y) (* x y)))) (cbrt (+ (* x y) (* x y))) (* (* (+ (* x y) (* x y)) (+ (* x y) (* x y))) (+ (* x y) (* x y))) (sqrt (+ (* x y) (* x y))) (sqrt (+ (* x y) (* x y))) (+ (pow (* x y) 3) (pow (* x y) 3)) (+ (* (* x y) (* x y)) (- (* (* x y) (* x y)) (* (* x y) (* x y)))) (- (* (* x y) (* x y)) (* (* x y) (* x y))) (- (* x y) (* x y)) (+ y y) (+ x x) (* (* (exp (* x x)) (exp (* y y))) (* (exp (* x y)) (exp (* x y)))) (* (* (exp (* x x)) (exp (* y y))) (exp (+ (* x y) (* x y)))) (* (exp (+ (* x x) (* y y))) (* (exp (* x y)) (exp (* x y)))) (* (exp (+ (* x x) (* y y))) (exp (+ (* x y) (* x y)))) (log (+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))) (exp (+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))) (* (cbrt (+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))) (cbrt (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))))) (cbrt (+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))) (* (* (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))) (+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))) (+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))) (sqrt (+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))) (sqrt (+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))) (+ (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x y) (* x y)) (- (* (* x y) (* x y)) (* (* x y) (* x y))))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (pow (* x y) 3) (pow (* x y) 3)))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* (* x y) (* x y)) (- (* (* x y) (* x y)) (* (* x y) (* x y))))) (+ (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- (* x y) (* x y))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x y) (* x y)) (* (* x y) (* x y))))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* x y) (* x y))) (+ (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* (* x y) (* x y)) (- (* (* x y) (* x y)) (* (* x y) (* x y))))) (* (- (* x x) (* y y)) (+ (pow (* x y) 3) (pow (* x y) 3)))) (* (- (* x x) (* y y)) (+ (* (* x y) (* x y)) (- (* (* x y) (* x y)) (* (* x y) (* x y))))) (+ (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x y) (* x y))) (* (- (* x x) (* y y)) (- (* (* x y) (* x y)) (* (* x y) (* x y))))) (* (- (* x x) (* y y)) (- (* x y) (* x y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (+ (* x y) (* x y)) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (+ (* x y) (* x y)) (+ (* x y) (* x y))) (* (+ (* x x) (* y y)) (+ (* x y) (* x y))))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (+ (* x y) (* x y)) (+ (* x y) (* x y)))) (- (+ (* x x) (* y y)) (+ (* x y) (* x y))) (+ (+ (* x x) (* y y)) (+ (* x y) (* x y))) (+ (+ (* x x) (* y y)) (* x y)) (+ (* y y) (+ (* x y) (* x y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 2.670 * * [simplify]: iteration 0: 90 enodes 2.698 * * [simplify]: iteration 1: 294 enodes 2.850 * * [simplify]: iteration 2: 1271 enodes 3.426 * * [simplify]: iteration complete: 5008 enodes 3.426 * * [simplify]: Extracting #0: cost 40 inf + 0 3.427 * * [simplify]: Extracting #1: cost 348 inf + 1 3.431 * * [simplify]: Extracting #2: cost 1393 inf + 7047 3.450 * * [simplify]: Extracting #3: cost 1406 inf + 117753 3.536 * * [simplify]: Extracting #4: cost 258 inf + 462738 3.663 * * [simplify]: Extracting #5: cost 41 inf + 521939 3.811 * * [simplify]: Extracting #6: cost 10 inf + 527290 3.948 * * [simplify]: Extracting #7: cost 0 inf + 530220 4.061 * [simplify]: Simplified to: (* (exp (* x y)) (exp (* x y))) (log (+ (* x y) (* x y))) (* (exp (* x y)) (exp (* x y))) (* (cbrt (+ (* x y) (* x y))) (cbrt (+ (* x y) (* x y)))) (cbrt (+ (* x y) (* x y))) (* (+ (* x y) (* x y)) (* (+ (* x y) (* x y)) (+ (* x y) (* x y)))) (sqrt (+ (* x y) (* x y))) (sqrt (+ (* x y) (* x y))) (* (* (* x y) (* x y)) (+ (* x y) (* x y))) (* (* x y) (* x y)) 0 0 (+ y y) (+ x x) (exp (+ (* x x) (+ (* y y) (+ (* x y) (* x y))))) (exp (+ (* x x) (+ (* y y) (+ (* x y) (* x y))))) (exp (+ (* x x) (+ (* y y) (+ (* x y) (* x y))))) (exp (+ (* x x) (+ (* y y) (+ (* x y) (* x y))))) (log (+ (+ (* y y) (+ (* x y) (* x y))) (* x x))) (exp (+ (* x x) (+ (* y y) (+ (* x y) (* x y))))) (* (cbrt (+ (+ (* y y) (+ (* x y) (* x y))) (* x x))) (cbrt (+ (+ (* y y) (+ (* x y) (* x y))) (* x x)))) (cbrt (+ (+ (* y y) (+ (* x y) (* x y))) (* x x))) (* (+ (+ (* y y) (+ (* x y) (* x y))) (* x x)) (* (+ (+ (* y y) (+ (* x y) (* x y))) (* x x)) (+ (+ (* y y) (+ (* x y) (* x y))) (* x x)))) (sqrt (+ (+ (* y y) (+ (* x y) (* x y))) (* x x))) (sqrt (+ (+ (* y y) (+ (* x y) (* x y))) (* x x))) (+ (* (* (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (* (* x y) (* x y))) (+ (* x y) (* x y))) (* (+ (* (* (* y y) y) (* (* y y) y)) (* (* x (* x x)) (* x (* x x)))) (* (* x y) (* x y)))) (* (* (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (* x x)) (* y y)) 0 0 (+ (* (- (* x x) (* y y)) (* (* x y) (* (* x y) (* x y)))) (* (* (* x y) (* x y)) (+ (* (- (* x x) (* y y)) (* x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (* x x) (* (* y y) (- (* x x) (* y y)))) 0 0 (+ (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (* (+ (* x y) (* x y)) (* (+ (* x y) (* x y)) (+ (* x y) (* x y))))) (+ (* (+ (* x y) (* x y)) (- (+ (* x y) (* x y)) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (+ (* x y) (* x y)) (+ (* x y) (* x y)))) (+ (* x x) (- (* y y) (+ (* x y) (* x y)))) (+ (+ (* y y) (+ (* x y) (* x y))) (* x x)) (+ (+ (* x y) (* x x)) (* y y)) (+ (* y y) (+ (* x y) (* x y))) (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* (* y y) y) (* (* y y) y)) (* (* x (* x x)) (* x (* x x)))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (* x y) (* x y)) (+ (* x y) (* x y)) (+ (* x y) (* x y)) (+ (+ (* y y) (+ (* x y) (* x y))) (* x x)) (+ (+ (* y y) (+ (* x y) (* x y))) (* x x)) (+ (+ (* y y) (+ (* x y) (* x y))) (* x x)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 4.064 * * * [progress]: adding candidates to table 4.268 * * [progress]: iteration 3 / 4 4.268 * * * [progress]: picking best candidate 4.272 * * * * [pick]: Picked # 4.272 * * * [progress]: localizing error 4.283 * * * [progress]: generating rewritten candidates 4.283 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.299 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.314 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 4.335 * * * [progress]: generating series expansions 4.335 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.335 * [backup-simplify]: Simplify (* (+ x y) x) into (* (+ x y) x) 4.335 * [approximate]: Taking taylor expansion of (* (+ x y) x) in (x y) around 0 4.335 * [taylor]: Taking taylor expansion of (* (+ x y) x) in y 4.335 * [taylor]: Taking taylor expansion of (+ x y) in y 4.335 * [taylor]: Taking taylor expansion of x in y 4.335 * [backup-simplify]: Simplify x into x 4.335 * [taylor]: Taking taylor expansion of y in y 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [taylor]: Taking taylor expansion of x in y 4.335 * [backup-simplify]: Simplify x into x 4.335 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 4.335 * [taylor]: Taking taylor expansion of (+ x y) in x 4.335 * [taylor]: Taking taylor expansion of x in x 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [taylor]: Taking taylor expansion of y in x 4.335 * [backup-simplify]: Simplify y into y 4.335 * [taylor]: Taking taylor expansion of x in x 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 4.335 * [taylor]: Taking taylor expansion of (+ x y) in x 4.335 * [taylor]: Taking taylor expansion of x in x 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [taylor]: Taking taylor expansion of y in x 4.335 * [backup-simplify]: Simplify y into y 4.335 * [taylor]: Taking taylor expansion of x in x 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (+ 0 y) into y 4.335 * [backup-simplify]: Simplify (* y 0) into 0 4.335 * [taylor]: Taking taylor expansion of 0 in y 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (+ 1 0) into 1 4.336 * [backup-simplify]: Simplify (+ (* y 1) (* 1 0)) into y 4.336 * [taylor]: Taking taylor expansion of y in y 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.337 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 0))) into 1 4.337 * [taylor]: Taking taylor expansion of 1 in y 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.338 * [taylor]: Taking taylor expansion of 0 in y 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify (+ 0 0) into 0 4.341 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.341 * [taylor]: Taking taylor expansion of 0 in y 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 4.342 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 x) (/ 1 y)) x) 4.342 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 4.342 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 4.342 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.342 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.342 * [taylor]: Taking taylor expansion of x in y 4.342 * [backup-simplify]: Simplify x into x 4.342 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.342 * [taylor]: Taking taylor expansion of y in y 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify 1 into 1 4.342 * [backup-simplify]: Simplify (/ 1 1) into 1 4.342 * [taylor]: Taking taylor expansion of x in y 4.342 * [backup-simplify]: Simplify x into x 4.342 * [backup-simplify]: Simplify (+ 0 1) into 1 4.342 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.342 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 4.342 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.342 * [taylor]: Taking taylor expansion of x in x 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.343 * [taylor]: Taking taylor expansion of y in x 4.343 * [backup-simplify]: Simplify y into y 4.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.343 * [taylor]: Taking taylor expansion of x in x 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (+ 1 0) into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 4.343 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.343 * [taylor]: Taking taylor expansion of x in x 4.343 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (/ 1 1) into 1 4.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.344 * [taylor]: Taking taylor expansion of y in x 4.344 * [backup-simplify]: Simplify y into y 4.344 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.344 * [taylor]: Taking taylor expansion of x in x 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (+ 1 0) into 1 4.344 * [backup-simplify]: Simplify (/ 1 1) into 1 4.344 * [taylor]: Taking taylor expansion of 1 in y 4.344 * [backup-simplify]: Simplify 1 into 1 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.345 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 4.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.345 * [taylor]: Taking taylor expansion of y in y 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (/ 1 1) into 1 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.347 * [backup-simplify]: Simplify (+ 0 0) into 0 4.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 4.348 * [taylor]: Taking taylor expansion of 0 in y 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.350 * [taylor]: Taking taylor expansion of 0 in y 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.352 * [backup-simplify]: Simplify (+ 0 0) into 0 4.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.353 * [taylor]: Taking taylor expansion of 0 in y 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 4.354 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 x) (/ 1 y)) x) 4.354 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 4.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 4.354 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.354 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.354 * [taylor]: Taking taylor expansion of x in y 4.354 * [backup-simplify]: Simplify x into x 4.354 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.354 * [taylor]: Taking taylor expansion of y in y 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.354 * [backup-simplify]: Simplify (/ 1 1) into 1 4.354 * [taylor]: Taking taylor expansion of x in y 4.354 * [backup-simplify]: Simplify x into x 4.355 * [backup-simplify]: Simplify (+ 0 1) into 1 4.355 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 4.355 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.355 * [taylor]: Taking taylor expansion of x in x 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify (/ 1 1) into 1 4.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.355 * [taylor]: Taking taylor expansion of y in x 4.355 * [backup-simplify]: Simplify y into y 4.355 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.355 * [taylor]: Taking taylor expansion of x in x 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify (+ 1 0) into 1 4.356 * [backup-simplify]: Simplify (/ 1 1) into 1 4.356 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 4.356 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.356 * [taylor]: Taking taylor expansion of x in x 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.356 * [backup-simplify]: Simplify (/ 1 1) into 1 4.356 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.356 * [taylor]: Taking taylor expansion of y in x 4.356 * [backup-simplify]: Simplify y into y 4.356 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.356 * [taylor]: Taking taylor expansion of x in x 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.356 * [backup-simplify]: Simplify (+ 1 0) into 1 4.357 * [backup-simplify]: Simplify (/ 1 1) into 1 4.357 * [taylor]: Taking taylor expansion of 1 in y 4.357 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.358 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 4.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.358 * [taylor]: Taking taylor expansion of y in y 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (/ 1 1) into 1 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.359 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 4.360 * [taylor]: Taking taylor expansion of 0 in y 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.361 * [backup-simplify]: Simplify (+ 0 0) into 0 4.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.363 * [taylor]: Taking taylor expansion of 0 in y 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.365 * [backup-simplify]: Simplify (+ 0 0) into 0 4.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.367 * [taylor]: Taking taylor expansion of 0 in y 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 4.367 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.368 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 4.368 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0 4.368 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 4.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.368 * [taylor]: Taking taylor expansion of y in y 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 4.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.368 * [taylor]: Taking taylor expansion of x in y 4.368 * [backup-simplify]: Simplify x into x 4.368 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.368 * [taylor]: Taking taylor expansion of 2 in y 4.368 * [backup-simplify]: Simplify 2 into 2 4.368 * [taylor]: Taking taylor expansion of (* x y) in y 4.368 * [taylor]: Taking taylor expansion of x in y 4.368 * [backup-simplify]: Simplify x into x 4.368 * [taylor]: Taking taylor expansion of y in y 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 4.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.368 * [taylor]: Taking taylor expansion of y in x 4.368 * [backup-simplify]: Simplify y into y 4.368 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 4.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.368 * [taylor]: Taking taylor expansion of x in x 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.368 * [taylor]: Taking taylor expansion of 2 in x 4.368 * [backup-simplify]: Simplify 2 into 2 4.368 * [taylor]: Taking taylor expansion of (* x y) in x 4.368 * [taylor]: Taking taylor expansion of x in x 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [taylor]: Taking taylor expansion of y in x 4.368 * [backup-simplify]: Simplify y into y 4.368 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 4.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.368 * [taylor]: Taking taylor expansion of y in x 4.369 * [backup-simplify]: Simplify y into y 4.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 4.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.369 * [taylor]: Taking taylor expansion of x in x 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.369 * [taylor]: Taking taylor expansion of 2 in x 4.369 * [backup-simplify]: Simplify 2 into 2 4.369 * [taylor]: Taking taylor expansion of (* x y) in x 4.369 * [taylor]: Taking taylor expansion of x in x 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [taylor]: Taking taylor expansion of y in x 4.369 * [backup-simplify]: Simplify y into y 4.369 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.369 * [backup-simplify]: Simplify (* 0 y) into 0 4.369 * [backup-simplify]: Simplify (* 2 0) into 0 4.370 * [backup-simplify]: Simplify (+ 0 0) into 0 4.370 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.370 * [taylor]: Taking taylor expansion of y in y 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.370 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.371 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 4.371 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.371 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.371 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.371 * [taylor]: Taking taylor expansion of 2 in y 4.371 * [backup-simplify]: Simplify 2 into 2 4.371 * [taylor]: Taking taylor expansion of y in y 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (* 2 0) into 0 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.372 * [backup-simplify]: Simplify (* 1 1) into 1 4.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 4.374 * [backup-simplify]: Simplify (+ 1 0) into 1 4.374 * [backup-simplify]: Simplify (+ 0 1) into 1 4.374 * [taylor]: Taking taylor expansion of 1 in y 4.374 * [backup-simplify]: Simplify 1 into 1 4.374 * [backup-simplify]: Simplify 1 into 1 4.375 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.375 * [backup-simplify]: Simplify 2 into 2 4.375 * [backup-simplify]: Simplify (* 1 1) into 1 4.375 * [backup-simplify]: Simplify 1 into 1 4.376 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 4.376 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 4.376 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 4.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.376 * [taylor]: Taking taylor expansion of y in y 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 1 into 1 4.377 * [backup-simplify]: Simplify (* 1 1) into 1 4.377 * [backup-simplify]: Simplify (/ 1 1) into 1 4.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.377 * [taylor]: Taking taylor expansion of x in y 4.377 * [backup-simplify]: Simplify x into x 4.377 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.377 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.377 * [taylor]: Taking taylor expansion of 2 in y 4.377 * [backup-simplify]: Simplify 2 into 2 4.377 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.377 * [taylor]: Taking taylor expansion of (* x y) in y 4.377 * [taylor]: Taking taylor expansion of x in y 4.377 * [backup-simplify]: Simplify x into x 4.377 * [taylor]: Taking taylor expansion of y in y 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.378 * [backup-simplify]: Simplify (* x 0) into 0 4.378 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.378 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 4.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.378 * [taylor]: Taking taylor expansion of y in x 4.378 * [backup-simplify]: Simplify y into y 4.378 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.378 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 4.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.378 * [taylor]: Taking taylor expansion of x in x 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (* 1 1) into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.379 * [taylor]: Taking taylor expansion of 2 in x 4.379 * [backup-simplify]: Simplify 2 into 2 4.379 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.379 * [taylor]: Taking taylor expansion of (* x y) in x 4.379 * [taylor]: Taking taylor expansion of x in x 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [taylor]: Taking taylor expansion of y in x 4.379 * [backup-simplify]: Simplify y into y 4.379 * [backup-simplify]: Simplify (* 0 y) into 0 4.380 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.380 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 4.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.380 * [taylor]: Taking taylor expansion of y in x 4.380 * [backup-simplify]: Simplify y into y 4.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.380 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 4.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.380 * [taylor]: Taking taylor expansion of x in x 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.381 * [backup-simplify]: Simplify (* 1 1) into 1 4.381 * [backup-simplify]: Simplify (/ 1 1) into 1 4.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.381 * [taylor]: Taking taylor expansion of 2 in x 4.381 * [backup-simplify]: Simplify 2 into 2 4.381 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.381 * [taylor]: Taking taylor expansion of (* x y) in x 4.381 * [taylor]: Taking taylor expansion of x in x 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [taylor]: Taking taylor expansion of y in x 4.381 * [backup-simplify]: Simplify y into y 4.381 * [backup-simplify]: Simplify (* 0 y) into 0 4.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.382 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.382 * [backup-simplify]: Simplify (+ 1 0) into 1 4.382 * [backup-simplify]: Simplify (+ 0 1) into 1 4.382 * [taylor]: Taking taylor expansion of 1 in y 4.382 * [backup-simplify]: Simplify 1 into 1 4.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.384 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.384 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.384 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 4.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.384 * [taylor]: Taking taylor expansion of 2 in y 4.384 * [backup-simplify]: Simplify 2 into 2 4.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.384 * [taylor]: Taking taylor expansion of y in y 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.384 * [backup-simplify]: Simplify (/ 1 1) into 1 4.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.387 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.387 * [backup-simplify]: Simplify (+ 0 0) into 0 4.387 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.387 * [taylor]: Taking taylor expansion of y in y 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (* 1 1) into 1 4.388 * [backup-simplify]: Simplify (/ 1 1) into 1 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (* 2 1) into 2 4.388 * [backup-simplify]: Simplify 2 into 2 4.388 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 4.389 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 4.389 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 4.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.390 * [taylor]: Taking taylor expansion of y in y 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [backup-simplify]: Simplify (* 1 1) into 1 4.390 * [backup-simplify]: Simplify (/ 1 1) into 1 4.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.390 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.390 * [taylor]: Taking taylor expansion of x in y 4.390 * [backup-simplify]: Simplify x into x 4.390 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.391 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.391 * [taylor]: Taking taylor expansion of 2 in y 4.391 * [backup-simplify]: Simplify 2 into 2 4.391 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.391 * [taylor]: Taking taylor expansion of (* x y) in y 4.391 * [taylor]: Taking taylor expansion of x in y 4.391 * [backup-simplify]: Simplify x into x 4.391 * [taylor]: Taking taylor expansion of y in y 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify 1 into 1 4.391 * [backup-simplify]: Simplify (* x 0) into 0 4.391 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.391 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 4.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.391 * [taylor]: Taking taylor expansion of y in x 4.391 * [backup-simplify]: Simplify y into y 4.391 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.391 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 4.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.392 * [taylor]: Taking taylor expansion of x in x 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [backup-simplify]: Simplify (* 1 1) into 1 4.392 * [backup-simplify]: Simplify (/ 1 1) into 1 4.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.392 * [taylor]: Taking taylor expansion of 2 in x 4.392 * [backup-simplify]: Simplify 2 into 2 4.392 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.392 * [taylor]: Taking taylor expansion of (* x y) in x 4.392 * [taylor]: Taking taylor expansion of x in x 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [taylor]: Taking taylor expansion of y in x 4.392 * [backup-simplify]: Simplify y into y 4.392 * [backup-simplify]: Simplify (* 0 y) into 0 4.393 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.393 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.393 * [taylor]: Taking taylor expansion of y in x 4.393 * [backup-simplify]: Simplify y into y 4.393 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.393 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.393 * [taylor]: Taking taylor expansion of x in x 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 1 into 1 4.394 * [backup-simplify]: Simplify (* 1 1) into 1 4.394 * [backup-simplify]: Simplify (/ 1 1) into 1 4.394 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.394 * [taylor]: Taking taylor expansion of 2 in x 4.394 * [backup-simplify]: Simplify 2 into 2 4.394 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.394 * [taylor]: Taking taylor expansion of (* x y) in x 4.394 * [taylor]: Taking taylor expansion of x in x 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [taylor]: Taking taylor expansion of y in x 4.394 * [backup-simplify]: Simplify y into y 4.394 * [backup-simplify]: Simplify (* 0 y) into 0 4.395 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.395 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.395 * [backup-simplify]: Simplify (+ 1 0) into 1 4.395 * [backup-simplify]: Simplify (+ 0 1) into 1 4.395 * [taylor]: Taking taylor expansion of 1 in y 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.397 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.397 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.397 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 4.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.397 * [taylor]: Taking taylor expansion of 2 in y 4.397 * [backup-simplify]: Simplify 2 into 2 4.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.397 * [taylor]: Taking taylor expansion of y in y 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 1 into 1 4.397 * [backup-simplify]: Simplify (/ 1 1) into 1 4.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.400 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.400 * [backup-simplify]: Simplify (+ 0 0) into 0 4.400 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.401 * [taylor]: Taking taylor expansion of y in y 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (* 1 1) into 1 4.401 * [backup-simplify]: Simplify (/ 1 1) into 1 4.401 * [backup-simplify]: Simplify 1 into 1 4.402 * [backup-simplify]: Simplify (* 2 1) into 2 4.402 * [backup-simplify]: Simplify 2 into 2 4.402 * [backup-simplify]: Simplify 1 into 1 4.402 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 4.402 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.402 * [backup-simplify]: Simplify (* (+ x y) y) into (* (+ x y) y) 4.402 * [approximate]: Taking taylor expansion of (* (+ x y) y) in (x y) around 0 4.402 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 4.403 * [taylor]: Taking taylor expansion of (+ x y) in y 4.403 * [taylor]: Taking taylor expansion of x in y 4.403 * [backup-simplify]: Simplify x into x 4.403 * [taylor]: Taking taylor expansion of y in y 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [taylor]: Taking taylor expansion of y in y 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 4.403 * [taylor]: Taking taylor expansion of (+ x y) in x 4.403 * [taylor]: Taking taylor expansion of x in x 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [taylor]: Taking taylor expansion of y in x 4.403 * [backup-simplify]: Simplify y into y 4.403 * [taylor]: Taking taylor expansion of y in x 4.403 * [backup-simplify]: Simplify y into y 4.403 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 4.403 * [taylor]: Taking taylor expansion of (+ x y) in x 4.403 * [taylor]: Taking taylor expansion of x in x 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [taylor]: Taking taylor expansion of y in x 4.403 * [backup-simplify]: Simplify y into y 4.403 * [taylor]: Taking taylor expansion of y in x 4.403 * [backup-simplify]: Simplify y into y 4.403 * [backup-simplify]: Simplify (+ 0 y) into y 4.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.403 * [taylor]: Taking taylor expansion of y in y 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.404 * [backup-simplify]: Simplify (+ 1 0) into 1 4.404 * [backup-simplify]: Simplify (+ (* y 0) (* 1 y)) into y 4.404 * [taylor]: Taking taylor expansion of y in y 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 1 into 1 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (+ 0 0) into 0 4.405 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (* 0 y))) into 0 4.405 * [taylor]: Taking taylor expansion of 0 in y 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [backup-simplify]: Simplify (* 1 1) into 1 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [backup-simplify]: Simplify (+ 0 0) into 0 4.406 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.406 * [taylor]: Taking taylor expansion of 0 in y 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify (+ 0 0) into 0 4.408 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.408 * [taylor]: Taking taylor expansion of 0 in y 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 4.409 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 x) (/ 1 y)) y) 4.409 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (x y) around 0 4.409 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.409 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.409 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.409 * [taylor]: Taking taylor expansion of x in y 4.409 * [backup-simplify]: Simplify x into x 4.409 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.409 * [taylor]: Taking taylor expansion of y in y 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 1 into 1 4.410 * [backup-simplify]: Simplify (/ 1 1) into 1 4.410 * [taylor]: Taking taylor expansion of y in y 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 1 into 1 4.410 * [backup-simplify]: Simplify (+ 0 1) into 1 4.410 * [backup-simplify]: Simplify (/ 1 1) into 1 4.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.410 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.410 * [taylor]: Taking taylor expansion of x in x 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 1 into 1 4.411 * [backup-simplify]: Simplify (/ 1 1) into 1 4.411 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.411 * [taylor]: Taking taylor expansion of y in x 4.411 * [backup-simplify]: Simplify y into y 4.411 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.411 * [taylor]: Taking taylor expansion of y in x 4.411 * [backup-simplify]: Simplify y into y 4.411 * [backup-simplify]: Simplify (+ 1 0) into 1 4.411 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.411 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.411 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.411 * [taylor]: Taking taylor expansion of x in x 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 1 into 1 4.412 * [backup-simplify]: Simplify (/ 1 1) into 1 4.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.412 * [taylor]: Taking taylor expansion of y in x 4.412 * [backup-simplify]: Simplify y into y 4.412 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.412 * [taylor]: Taking taylor expansion of y in x 4.412 * [backup-simplify]: Simplify y into y 4.412 * [backup-simplify]: Simplify (+ 1 0) into 1 4.412 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.413 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.413 * [taylor]: Taking taylor expansion of y in y 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify 1 into 1 4.413 * [backup-simplify]: Simplify (/ 1 1) into 1 4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.414 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 4.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.414 * [taylor]: Taking taylor expansion of y in y 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.414 * [backup-simplify]: Simplify (* 1 1) into 1 4.414 * [backup-simplify]: Simplify (/ 1 1) into 1 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.416 * [backup-simplify]: Simplify (+ 0 0) into 0 4.416 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 4.416 * [taylor]: Taking taylor expansion of 0 in y 4.416 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.417 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.418 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.419 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.419 * [taylor]: Taking taylor expansion of 0 in y 4.419 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.423 * [backup-simplify]: Simplify (+ 0 0) into 0 4.423 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.423 * [taylor]: Taking taylor expansion of 0 in y 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 4.426 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 x) (/ 1 y)) y) 4.426 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in (x y) around 0 4.426 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 4.426 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.426 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.426 * [taylor]: Taking taylor expansion of x in y 4.426 * [backup-simplify]: Simplify x into x 4.426 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.426 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.426 * [taylor]: Taking taylor expansion of y in y 4.426 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify 1 into 1 4.426 * [backup-simplify]: Simplify (/ 1 1) into 1 4.426 * [taylor]: Taking taylor expansion of y in y 4.426 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify 1 into 1 4.427 * [backup-simplify]: Simplify (+ 0 1) into 1 4.427 * [backup-simplify]: Simplify (/ 1 1) into 1 4.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.427 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.427 * [taylor]: Taking taylor expansion of x in x 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify 1 into 1 4.427 * [backup-simplify]: Simplify (/ 1 1) into 1 4.427 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.427 * [taylor]: Taking taylor expansion of y in x 4.427 * [backup-simplify]: Simplify y into y 4.427 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.427 * [taylor]: Taking taylor expansion of y in x 4.427 * [backup-simplify]: Simplify y into y 4.428 * [backup-simplify]: Simplify (+ 1 0) into 1 4.428 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.428 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 4.428 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.428 * [taylor]: Taking taylor expansion of x in x 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify 1 into 1 4.428 * [backup-simplify]: Simplify (/ 1 1) into 1 4.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.428 * [taylor]: Taking taylor expansion of y in x 4.428 * [backup-simplify]: Simplify y into y 4.428 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.428 * [taylor]: Taking taylor expansion of y in x 4.428 * [backup-simplify]: Simplify y into y 4.429 * [backup-simplify]: Simplify (+ 1 0) into 1 4.429 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.429 * [taylor]: Taking taylor expansion of y in y 4.429 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify 1 into 1 4.429 * [backup-simplify]: Simplify (/ 1 1) into 1 4.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.430 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.430 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 4.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.430 * [taylor]: Taking taylor expansion of y in y 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify 1 into 1 4.431 * [backup-simplify]: Simplify (* 1 1) into 1 4.431 * [backup-simplify]: Simplify (/ 1 1) into 1 4.431 * [backup-simplify]: Simplify 1 into 1 4.431 * [backup-simplify]: Simplify 1 into 1 4.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.432 * [backup-simplify]: Simplify (+ 0 0) into 0 4.432 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 4.432 * [taylor]: Taking taylor expansion of 0 in y 4.432 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.434 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.435 * [backup-simplify]: Simplify (+ 0 0) into 0 4.436 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.436 * [taylor]: Taking taylor expansion of 0 in y 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.438 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.439 * [backup-simplify]: Simplify (+ 0 0) into 0 4.439 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.439 * [taylor]: Taking taylor expansion of 0 in y 4.439 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 4.442 * * * [progress]: simplifying candidates 4.443 * [simplify]: Simplifying: (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y)))) (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y))) (- (* (+ x y) x) (* (+ x y) y)) (+ x y) (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 4.444 * * [simplify]: iteration 0: 106 enodes 4.474 * * [simplify]: iteration 1: 307 enodes 4.620 * * [simplify]: iteration 2: 1114 enodes 5.069 * * [simplify]: iteration complete: 5001 enodes 5.069 * * [simplify]: Extracting #0: cost 49 inf + 0 5.070 * * [simplify]: Extracting #1: cost 558 inf + 0 5.076 * * [simplify]: Extracting #2: cost 1755 inf + 4862 5.101 * * [simplify]: Extracting #3: cost 1421 inf + 128175 5.169 * * [simplify]: Extracting #4: cost 168 inf + 404220 5.255 * * [simplify]: Extracting #5: cost 3 inf + 444070 5.340 * * [simplify]: Extracting #6: cost 0 inf + 444910 5.446 * [simplify]: Simplified to: (* x (+ y x)) (log (* x (+ y x))) (log (* x (+ y x))) (exp (* x (+ y x))) (* (* x (+ y x)) (* (* x (+ y x)) (* x (+ y x)))) (* (cbrt (* x (+ y x))) (cbrt (* x (+ y x)))) (cbrt (* x (+ y x))) (* (* x (+ y x)) (* (* x (+ y x)) (* x (+ y x)))) (sqrt (* x (+ y x))) (sqrt (* x (+ y x))) (* (sqrt (+ y x)) (sqrt x)) (* (sqrt (+ y x)) (sqrt x)) (* (* (+ y x) (cbrt x)) (cbrt x)) (* (+ y x) (sqrt x)) (+ y x) (* x (cbrt (+ y x))) (* x (sqrt (+ y x))) (* x (+ y x)) (* x (+ y x)) (* x (+ (* (* y y) y) (* x (* x x)))) (* (- (* x x) (* y y)) x) (exp (* (+ y x) (+ y x))) (+ (log (+ y x)) (log (+ y x))) (exp (* (+ y x) (+ y x))) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (* (* (+ y x) (+ y x)) (* (* (+ y x) (+ y x)) (* (+ y x) (+ y x)))) (fabs (+ y x)) (fabs (+ y x)) (* (+ (* y (- y x)) (* x x)) (* (+ (* (* y y) y) (* x (* x x))) (+ x y))) (* (+ (* y (- y x)) (* x x)) (+ (* y (- y x)) (* x x))) (+ (* (* (- (* x x) (* y y)) y) (- (* y y) (- (* x y) (* x x)))) (* (+ (* (* y y) y) (* x (* x x))) (* x (- x y)))) (* (- x y) (+ (* y (- y x)) (* x x))) (+ (* y (* (- x y) (+ (* (* y y) y) (* x (* x x))))) (* (* x (- (* y y) (- (* x y) (* x x)))) (- (* x x) (* y y)))) (* (- x y) (+ (* y (- y x)) (* x x))) (* (- x y) (* (- x y) (* (+ y x) (+ y x)))) (* (- x y) (- x y)) (+ (* (* y (+ y x)) (* (* y (+ y x)) (* y (+ y x)))) (* (* x (+ y x)) (* (* x (+ y x)) (* x (+ y x))))) (- (* (* y (+ y x)) (* y (+ y x))) (* (* x (+ y x)) (* (+ y x) (- y x)))) (* (* (* (+ y x) (+ y x)) (+ y x)) (- x y)) (- (* x x) (* y y)) (+ y x) (* y (+ y x)) (log (* y (+ y x))) (log (* y (+ y x))) (exp (* y (+ y x))) (* (* y (+ y x)) (* (* y (+ y x)) (* y (+ y x)))) (* (cbrt (* y (+ y x))) (cbrt (* y (+ y x)))) (cbrt (* y (+ y x))) (* (* y (+ y x)) (* (* y (+ y x)) (* y (+ y x)))) (sqrt (* y (+ y x))) (sqrt (* y (+ y x))) (* (sqrt y) (sqrt (+ y x))) (* (sqrt y) (sqrt (+ y x))) (* (+ y x) (* (cbrt y) (cbrt y))) (* (sqrt y) (+ y x)) (+ y x) (* y (cbrt (+ y x))) (* (sqrt (+ y x)) y) (* y (+ y x)) (* y (+ y x)) (* (+ (* (* y y) y) (* x (* x x))) y) (* (- (* x x) (* y y)) y) (+ (* x x) (* x y)) (+ (* x x) (* x y)) (+ (* x x) (* x y)) (+ (* y (* x 2)) (+ (* x x) (* y y))) (+ (* y (* x 2)) (+ (* x x) (* y y))) (+ (* y (* x 2)) (+ (* x x) (* y y))) (+ (* y y) (* x y)) (+ (* y y) (* x y)) (+ (* y y) (* x y)) 5.450 * * * [progress]: adding candidates to table 5.725 * [progress]: [Phase 3 of 3] Extracting. 5.725 * * [regime]: Finding splitpoints for: (# #) 5.725 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.725 * * * * [regimes]: Trying to branch on y from (# #) 5.763 * * * * [regimes]: Trying to branch on x from (# #) 5.799 * * * [regime]: Found split indices: #